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Finding the Fourth Proportional to 6,193.98, 9,290.46 and 2,298

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Solution

The fourth proportional to 6,193.98, 9,290.46 and 2,298 is: 3,446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.98 : 9,290.46 = 2,298 : x
  2. Step 2: Convert to fraction form
    6,193.98/9,290.46 = 2,298/x
  3. Step 3: Cross multiply
    6,193.98x = 9,290.46 × 2,298
  4. Step 4: Simplify right side
    6,193.98x = 21,349,477.08
  5. Step 5: Solve for x
    x = 21,349,477.08/6,193.98
  6. Step 6: Final answer
    x = 3,446.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.